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Otras calculadoras
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- La ecuación:
-
Ecuación (x+9)^2=36*x
-
Ecuación a+120=2000/5
-
Ecuación -x/11+x=50/11
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Ecuación x^2+7x+6=0
- Expresar {x} en función de y en la ecuación:
- 12*x+8*y=18
- 8*x+6*y=20
- -2*x+18*y=13
- -11*x-1*y=15
-
Expresiones idénticas
- (sqrt(tres)*(cos(x))^ dos + dos *cos(x))*sqrt(uno - dos *sin(x))= cero
- ( raíz cuadrada de (3) multiplicar por ( coseno de (x)) al cuadrado más 2 multiplicar por coseno de (x)) multiplicar por raíz cuadrada de (1 menos 2 multiplicar por seno de (x)) es igual a 0
- ( raíz cuadrada de (tres) multiplicar por ( coseno de (x)) en el grado dos más dos multiplicar por coseno de (x)) multiplicar por raíz cuadrada de (uno menos dos multiplicar por seno de (x)) es igual a cero
- (√(3)*(cos(x))^2+2*cos(x))*√(1-2*sin(x))=0
- (sqrt(3)*(cos(x))2+2*cos(x))*sqrt(1-2*sin(x))=0
- sqrt3*cosx2+2*cosx*sqrt1-2*sinx=0
- (sqrt(3)*(cos(x))²+2*cos(x))*sqrt(1-2*sin(x))=0
- (sqrt(3)*(cos(x)) en el grado 2+2*cos(x))*sqrt(1-2*sin(x))=0
- (sqrt(3)(cos(x))^2+2cos(x))sqrt(1-2sin(x))=0
- (sqrt(3)(cos(x))2+2cos(x))sqrt(1-2sin(x))=0
- sqrt3cosx2+2cosxsqrt1-2sinx=0
- sqrt3cosx^2+2cosxsqrt1-2sinx=0
- (sqrt(3)*(cos(x))^2+2*cos(x))*sqrt(1-2*sin(x))=O
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Expresiones semejantes
- (sqrt(3)*(cos(x))^2-2*cos(x))*sqrt(1-2*sin(x))=0
- (sqrt(3)*(cos(x))^2+2*cos(x))*sqrt(1+2*sin(x))=0
- (sqrt(3)*(cosx)^2+2*cosx)*sqrt(1-2*sinx)=0
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Expresiones con funciones
- Raíz cuadrada sqrt
- sqrt(1-x)=sqrt[3](x-2)
- sqrt(x)^1=0
- sqrt(x-2)+sqrt(x+6)=2
- sqrt(x-2)+sqrt(4-x)=x^2-6*x+11
- sqrt(x-a)+abs(x+a)=4
- Coseno cos
- cos(x)+sin(3x)=0
- cos(x)=2*x
- cos(2x)-3*cos(x)+2=0
- cos^2x+cos^22*x-cos^23*x-cos^24*x=0
- cos(m/3+x)=1/2
- Coseno cos
- cos(x)+sin(3x)=0
- cos(x)=2*x
- cos(2x)-3*cos(x)+2=0
- cos^2x+cos^22*x-cos^23*x-cos^24*x=0
- cos(m/3+x)=1/2
- Raíz cuadrada sqrt
- sqrt(1-x)=sqrt[3](x-2)
- sqrt(x)^1=0
- sqrt(x-2)+sqrt(x+6)=2
- sqrt(x-2)+sqrt(4-x)=x^2-6*x+11
- sqrt(x-a)+abs(x+a)=4
- Seno sin
- sin(x)=1.5
- sin(sin(x))=1
- sin(x)=-0.5
- sin(-x)=1/2
- sin(x)^2=3/4
(sqrt(3)*(cos(x))^2+2*cos(x))*sqrt(1-2*sin(x))=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
/ ___ 2 \ ______________ \\/ 3 *cos (x) + 2*cos(x)/*\/ 1 - 2*sin(x) = 0
$$\sqrt{1 - 2 \sin{\left(x \right)}} \left(\sqrt{3} \cos^{2}{\left(x \right)} + 2 \cos{\left(x \right)}\right) = 0$$
Respuesta rápida
[src]
pi
x1 = --
6
$$x_{1} = \frac{\pi}{6}$$
pi
x2 = --
2
$$x_{2} = \frac{\pi}{2}$$
5*pi
x3 = ----
6
$$x_{3} = \frac{5 \pi}{6}$$
3*pi
x4 = ----
2
$$x_{4} = \frac{3 \pi}{2}$$
/ / _____________\\ / / _____________\\
| | / ___ || | | / ___ ||
x5 = 2*im\atanh\\/ 7 + 4*\/ 3 // - 2*I*re\atanh\\/ 7 + 4*\/ 3 //
$$x_{5} = 2 \operatorname{im}{\left(\operatorname{atanh}{\left(\sqrt{4 \sqrt{3} + 7} \right)}\right)} - 2 i \operatorname{re}{\left(\operatorname{atanh}{\left(\sqrt{4 \sqrt{3} + 7} \right)}\right)}$$
/ / _____________\\ / / _____________\\
| | / ___ || | | / ___ ||
x6 = - 2*im\atanh\\/ 7 + 4*\/ 3 // + 2*I*re\atanh\\/ 7 + 4*\/ 3 //
$$x_{6} = - 2 \operatorname{im}{\left(\operatorname{atanh}{\left(\sqrt{4 \sqrt{3} + 7} \right)}\right)} + 2 i \operatorname{re}{\left(\operatorname{atanh}{\left(\sqrt{4 \sqrt{3} + 7} \right)}\right)}$$
x6 = -2*im(atanh(sqrt(4*sqrt(3) + 7))) + 2*i*re(atanh(sqrt(4*sqrt(3) + 7)))
Suma y producto de raíces
[src]
suma
/ / _____________\\ / / _____________\\ / / _____________\\ / / _____________\\ pi pi 5*pi 3*pi | | / ___ || | | / ___ || | | / ___ || | | / ___ || -- + -- + ---- + ---- + 2*im\atanh\\/ 7 + 4*\/ 3 // - 2*I*re\atanh\\/ 7 + 4*\/ 3 // + - 2*im\atanh\\/ 7 + 4*\/ 3 // + 2*I*re\atanh\\/ 7 + 4*\/ 3 // 6 2 6 2
$$\left(\left(\left(\left(\frac{\pi}{6} + \frac{\pi}{2}\right) + \frac{5 \pi}{6}\right) + \frac{3 \pi}{2}\right) + \left(2 \operatorname{im}{\left(\operatorname{atanh}{\left(\sqrt{4 \sqrt{3} + 7} \right)}\right)} - 2 i \operatorname{re}{\left(\operatorname{atanh}{\left(\sqrt{4 \sqrt{3} + 7} \right)}\right)}\right)\right) + \left(- 2 \operatorname{im}{\left(\operatorname{atanh}{\left(\sqrt{4 \sqrt{3} + 7} \right)}\right)} + 2 i \operatorname{re}{\left(\operatorname{atanh}{\left(\sqrt{4 \sqrt{3} + 7} \right)}\right)}\right)$$
=
3*pi
$$3 \pi$$
producto
/ / / _____________\\ / / _____________\\\ / / / _____________\\ / / _____________\\\ pi pi 5*pi 3*pi | | | / ___ || | | / ___ ||| | | | / ___ || | | / ___ ||| --*--*----*----*\2*im\atanh\\/ 7 + 4*\/ 3 // - 2*I*re\atanh\\/ 7 + 4*\/ 3 ///*\- 2*im\atanh\\/ 7 + 4*\/ 3 // + 2*I*re\atanh\\/ 7 + 4*\/ 3 /// 6 2 6 2
$$\frac{3 \pi}{2} \frac{5 \pi}{6} \frac{\pi}{6} \frac{\pi}{2} \left(2 \operatorname{im}{\left(\operatorname{atanh}{\left(\sqrt{4 \sqrt{3} + 7} \right)}\right)} - 2 i \operatorname{re}{\left(\operatorname{atanh}{\left(\sqrt{4 \sqrt{3} + 7} \right)}\right)}\right) \left(- 2 \operatorname{im}{\left(\operatorname{atanh}{\left(\sqrt{4 \sqrt{3} + 7} \right)}\right)} + 2 i \operatorname{re}{\left(\operatorname{atanh}{\left(\sqrt{4 \sqrt{3} + 7} \right)}\right)}\right)$$
=
2
/ / / _____________\\ / / _____________\\\
4 | | | / ___ || | | / ___ |||
-5*pi *\- I*re\atanh\\/ 7 + 4*\/ 3 // + im\atanh\\/ 7 + 4*\/ 3 ///
-----------------------------------------------------------------------
12
$$- \frac{5 \pi^{4} \left(\operatorname{im}{\left(\operatorname{atanh}{\left(\sqrt{4 \sqrt{3} + 7} \right)}\right)} - i \operatorname{re}{\left(\operatorname{atanh}{\left(\sqrt{4 \sqrt{3} + 7} \right)}\right)}\right)^{2}}{12}$$
-5*pi^4*(-i*re(atanh(sqrt(7 + 4*sqrt(3)))) + im(atanh(sqrt(7 + 4*sqrt(3)))))^2/12
Respuesta numérica
[src]
x1 = 51.8362787842316
x2 = 17.2787595947439
x3 = -89.5353906273091
x4 = 64.4026493985908
x5 = 70.6858347057703
x6 = 36.1283155162826
x7 = -58.1194640914112
x8 = 7.85398163397448
x9 = -17.2787595947439
x10 = -95.8185759344887
x11 = -1.5707963267949
x12 = -84.8230016469244 - 0.549306144334055*i
x13 = 45.553093477052
x14 = -53.4070751110265 - 0.549306144334055*i
x15 = 23.5619449019235
x16 = -23.5619449019235
x17 = 61.261056745001
x18 = -10.9955742875643
x19 = 29.845130209103
x20 = 3.14159265358979 + 0.549306144334055*i
x21 = -51.8362787842316
x22 = -80.1106126665397
x23 = -97.3893722612836 - 0.549306144334055*i
x24 = 26.7035375555132
x25 = 67.5442420521806
x26 = -39.2699081698724
x27 = 86.3937979737193
x28 = 40.8407044966673 - 0.549306144334055*i
x29 = -67.5442420521806
x30 = -26.7035375555132
x31 = 95.8185759344887
x32 = -86.3937979737193
x33 = -36.1283155162826
x34 = -14.1371669411541
x35 = -7.85398163397448
x36 = -42.4115008234622
x37 = 20.4203522483337
x38 = -70.6858347057703
x39 = -54.9778714378214
x40 = -45.553093477052
x41 = 14.1371669411541
x42 = -73.8274273593601
x43 = -61.261056745001
x44 = 91.106186954104 - 0.549306144334055*i
x45 = 80.1106126665397
x46 = 73.8274273593601
x47 = 58.1194640914112
x48 = 1.5707963267949
x49 = 89.5353906273091
x50 = -20.4203522483337
x51 = -9.42477796076938 - 0.549306144334055*i
x52 = 42.4115008234622
x53 = -64.4026493985908
x54 = -29.845130209103
x54 = -29.845130209103